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3440000430 = 2325436713267
BaseRepresentation
bin1100110100001010…
…0011110110101110
322212201222010110100
43031002203312232
524021120003210
61325203051530
7151150343526
oct31502436656
98781863410
103440000430
111505877269
12800070ba6
1342a8bc919
14248c20686
151520095c0
hexcd0a3dae

3440000430 has 96 divisors (see below), whose sum is σ = 9289298304. Its totient is φ = 882560448.

The previous prime is 3440000393. The next prime is 3440000437. The reversal of 3440000430 is 340000443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440000437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252657 + ... + 265923.

It is an arithmetic number, because the mean of its divisors is an integer number (96763524).

Almost surely, 23440000430 is an apocalyptic number.

3440000430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440000430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644649152).

3440000430 is an abundant number, since it is smaller than the sum of its proper divisors (5849297874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3440000430 is a wasteful number, since it uses less digits than its factorization.

3440000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3440000430 is about 58651.5168601802. The cubic root of 3440000430 is about 1509.5685257562.

Adding to 3440000430 its reverse (340000443), we get a palindrome (3780000873).

The spelling of 3440000430 in words is "three billion, four hundred forty million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 67 86 90 129 134 201 215 258 335 387 402 430 603 645 670 774 1005 1206 1290 1935 2010 2881 3015 3870 5762 6030 8643 13267 14405 17286 25929 26534 28810 39801 43215 51858 66335 79602 86430 119403 129645 132670 199005 238806 259290 398010 570481 597015 888889 1140962 1194030 1711443 1777778 2666667 2852405 3422886 4444445 5134329 5333334 5704810 8000001 8557215 8888890 10268658 13333335 16000002 17114430 25671645 26666670 38222227 40000005 51343290 76444454 80000010 114666681 191111135 229333362 344000043 382222270 573333405 688000086 1146666810 1720000215 3440000430